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Find the values of these expressions.$$\begin{array}{llll}{\text { a) } 1 \cdot \overline{0}} & {\text { b) } 1+\overline{1}} & {\text { c) } \overline{0} \cdot 0} & {\text { d) }(1+0)}\end{array}$$

(a) 1(b) 1(c) 0(d) 0

Calculus 2 / BC

Chapter 12

Boolean Algebra

Section 1

Boolean Functions

Series

Baylor University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:39

Which of the following exp…

00:21

Find the following sums.

00:53

Perform the indicated oper…

00:44

00:41

00:31

{ Find the values.}Mul…

00:43

02:02

Find the exact value of ea…

00:17

Find each sum or differenc…

all right For these questions on bully and algebra, there's four main things toe take the consideration. So the 1st 1 is the complements. The compliment is, when you have a bar over either one or zero and what this is, it's which is the state of that value. So give a bar over a zero. This is the same thing as saying one. And if your bar over a one this is the same thing that saying zero. So that's the definition of the compliment. The second thing to come take into consideration is Thies this Plus So what this plus represents is the bullying some so like logic. It's equivalent. The logical or so. What happens here is that if you have a one plus zero that this is gonna be equal to one. If you have a one plus a one, this is gonna also be equal to a one. And if you have zero plus zero, this is gonna be equal to a zero. So it works much in the same way as the logical war. The third thing is the bullion products, so the bullion product is represented by the Stott and it works like the logical end. So the only way it's one visit. Both of these are what so one product one is equal to one, but one product zero is equal to zero and zero. Product zero is also equal to zero. And the fourth minor thing to take into consideration is just how parentheses were. So parentheses work in the same order of operations as every other algebraic system. So if you have, ah, one plus zero times one, you have to do whatever is in the parentheses first. So one plus zero is one and then product one. So this is gonna be good one. So with all those things in mind, weaken, start with this question. So the party is one product zero compliment. So we can do. First is rewrite this as one product one, because that's the compliment of zero and one product. One, as we found before, is equal to one. So part is gonna be good or what? For the second part, we have one plus one conflict. So get the compliment out of the way. First, that's gonna be equal to one plus zero. And like we said before, this is gonna be equal to one again. All right, The 3rd 1 is gonna be one product zero, because we did the compliment. And because thes aren't both ones, the product is always going to be equal to zero. And in the fourth problem, we have in parentheses, one plus zero, and then we take the compliment of the whole thing. So one plus zero is gonna be equal to one, and then we're taking a complement of that which is gonna be equal to zero. So those air, all of those expressions solved.

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